Calculate the surface area of a right rectangular prism with dimensions w=12 in. , l=18 in. , and h=8 in. . How many square inches is the surface area?(1 point)
in.2
To calculate the surface area of a right rectangular prism, we need to find the area of each face and add them together.
The formula for the surface area of a right rectangular prism is:
Surface Area = 2(pl + wl + ph)
Given:
w = 12 in.
l = 18 in.
h = 8 in.
Calculating each face:
- The top and bottom faces have lengths of w and l, so their areas are:
Top face = w * l = 12 in. * 18 in. = 216 in.²
Bottom face = w * l = 12 in. * 18 in. = 216 in.²
- The front and back faces have lengths of w and h, so their areas are:
Front face = w * h = 12 in. * 8 in. = 96 in.²
Back face = w * h = 12 in. * 8 in. = 96 in.²
- The left and right faces have lengths of l and h, so their areas are:
Left face = l * h = 18 in. * 8 in. = 144 in.²
Right face = l * h = 18 in. * 8 in. = 144 in.²
Adding up the areas of all faces:
Surface Area = (Top face) + (Bottom face) + (Front face) + (Back face) + (Left face) + (Right face)
Surface Area = 216 in.² + 216 in.² + 96 in.² + 96 in.² + 144 in.² + 144 in.²
Surface Area = 912 in.²
Therefore, the surface area of the right rectangular prism is 912 square inches.